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The image contains a set of trigonometric equations for which you are asked to find the solutions, with angles constrained within specific intervals. Let's break it down:

1. The first set of problems asks for the solution of trigonometric equations within the interval \( 0^\circ \leq x \leq 360^\circ \). The equations are:

    a) \( \sin x = \sin 350^\circ \)

    b) \( \sin (x - 40^\circ) = \sin 110^\circ \)

    c) \( \cos (3x + 48^\circ) = \cos 75^\circ \) with the interval \( 0^\circ \leq x \leq 180^\circ \)

    d) \( \cos \left(\frac{3}{2}x - 36^\circ\right) = \cos 264^\circ \)

    e) \( \tan (x - 20^\circ) = \tan 320^\circ \)

2. The second problem asks to solve the equation:
   \[
   \sqrt{3} \cos x + \sin x = 2 \cos 25^\circ
   \]
   with the condition \( 0^\circ \leq x \leq 360^\circ \).

Would you like me to solve these equations step by step for each part, or is there a specific one you'd like help with first?

The image contains a set of trigonometric equations for which you are asked to find the solutions, with angles constrained within specific intervals. The equations include sine, cosine, and tangent functions.

This page provides step-by-step solutions to trigonometric equations involving sine, cosine, and tangent functions, with angles constrained between 0° and 360°. Solve problems such as sin(x) = sin(350°) and cos(3x + 48°) = cos(75°).

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